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X$^3$-OPD: Distilling Reasoning into Large Audio-Language Models via On-Policy Alignment

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arXiv CS · Papers · License: Open Access · 2026
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machine learning, deep learning, neural networks

X3 -OPD: Distilling Reasoning into Large Audio-Language Models via On-Policy Alignment Dongjie Fu1,2 , Di Cao1 , Xize Cheng2 , Zihan Zhang2 , Wenxu Jia2 , Yifu Chen2 , Shengpeng Ji1,2 , Yu Zhang2 , Tao Jin2 * 1

2

Tencent Hunyuan

arXiv:2607.21550v1 [cs.LG] 23 Jul 2026

Abstract

directly in the acoustic signal, leveraging prosodic emphasis, ambient context, and temporally structured sound events that have no faithful textual surrogate(Xu et al., 2025c; Tian et al., 2025). In doing so, LALMs open a path toward comprehensive audio-language understanding, in which perception and reasoning are unified end-to-end rather than fractured across a lossy transcription boundary. Despite this perceptual advantage, a substantial reasoning gap persists between LALMs and text-only LLMs. The root cause is a fundamental data asymmetry: while modern LLMs are optimized over trillions of logically dense textual tokens(OpenAI et al., 2024; Guo et al., 2025), audio foundation models are trained predominantly on shallow alignment objectives such as transcription, captioning, or short-form question answering. Eliciting multi-step reasoning over acoustic input therefore demands large-scale Audio Chain-of-Thought supervision, yet manually annotating step-wise logical trajectories over highly variable continuous audio is computationally intractable and prohibitively costly. A natural alternative is to transfer reasoning capability from a strong text teacher into an acoustic student via knowledge distillation, exploiting the abundance of textual logical supervision that LLMs already encode. Early attempts in this direction adopt offline distillation, in which a frozen text teacher generates static reasoning trajectories that the student is trained to imitate(Xie et al., 2025). The supervision is then strictly tied to states the student never produces, and once the student’s acoustic perception diverges from the teacher’s textual premise, the offline target is out of distribution exactly where the student needs corrective signal the most. This crossmodal exposure bias is what motivates a recent line of on-policy distillation work in the audio–text setting (Cao et al., 2026; Hu et al., 2026), which lets the student roll out under its own acoustic conditioning and aligns the resulting trajectories with the

While audio large language models have achieved remarkable progress in auditory perception, they still lag behind text-based large language models in deep logical reasoning capabilities. This performance disparity primarily stems from the scarcity of high-quality audio reasoning data. To bridge this modality gap, we propose a novel cross-modal on-policy distillation framework. Our approach leverages a powerful text model as a teacher to provide dynamic correction and guidance to the audio foundational model during on-policy exploration. Furthermore, we construct a three-tier symmetric dataset encompassing logical reasoning, complex audio reasoning, and speech dialogue. By dynamically aligning the student model’s reasoning trajectories within the high-noise auditory space with the teacher model’s prior knowledge in the clean text space, our method effectively distills robust reasoning capabilities into the audio domain. Extensive experiments demonstrate that our model achieves substantial improvements on the audio and speech understanding benchmarks, paving a new path for comprehensive audio-language understanding.

1

Zhejiang University

Introduction

Recent advances in Large Audio-Language Models (LALMs) mark a significant shift from the traditional cascaded paradigm of pairing Automatic Speech Recognition with text-only Large Language Models (LLMs)(Zhang et al., 2023; Tang et al., 2023; Xu et al., 2025b). At the perceptual level, LALMs natively model continuous acoustic signals and thereby preserve paralinguistic and environmental cues, including intonation, emotion, speaker turns, and sound events, that are irreversibly lost in intermediate transcription. More fundamentally, this native interface also reshapes the reasoning paradigm: instead of inferring over a sanitized textual transcript, the model can ground its inferences * Corresponding author.

1

teacher through token-level KL-style supervision. Despite these algorithmic advances, the crossmodal regime addressed by existing on-policy methods remains narrow. The teacher signal is sourced almost exclusively from text-only logical reasoning corpora, so the resulting student inherits chain-of-thought competence over textually transcribable content but remains under-supervised on two reasoning regimes that are constitutive of audio understanding: reasoning grounded in nonlinguistic acoustic events whose evidence is not recoverable from a transcript, and reasoning conditioned on paralinguistic cues such as prosody, hesitation, and emotional shifts in spoken dialogue. Therefore, closing the audio-text reasoning gap demands a unified approach: advancing the distillation algorithm while fundamentally expanding the supervision distribution to encompass the regimes unique to the acoustic modality. This work addresses both fronts jointly under a single framework, X3 -OPD, targeting three distinct tiers of audio reasoning. On the data side, a three-tier symmetric corpus is constructed—spanning textual reasoning rendered into speech, caption-grounded audio-event reasoning, and prosody-aware spoken dialogue—so that every instance admits both a text-side and an audioside input under a uniform (xt , xa , q, a⋆ ) schema. On the algorithmic side, a cross-modal on-policy distillation procedure is built on top of this corpus: the acoustic student rolls out reasoning trajectories conditioned on its own acoustic perception of xa , while the text teacher scores those trajectories token-by-token under the matched xt . Crucially, the teacher is granted privileged access to the ground-truth answer alongside xt , allowing it to guide the student along a provably correct reasoning path. Furthermore, for open-ended queries, this token-level scoring allows the teacher to dynamically impart its own robust reasoning trace, rather than rigidly forcing the student to memorize a static target. This dynamic realignment occurs exactly at the steps where the student’s perceptual premise drifts off the teacher’s logical manifold. The two components are complementary: on-policy rollouts ensure the supervision lands at states the student actually visits, while the three-tier paired corpus ensures the teacher’s supervision remains applicable across logical, acoustic, and paralinguistic reasoning alike.

covering textual reasoning, audio-event reasoning, and paralinguistic spoken dialogue with paired text and audio inputs, extending cross-modal distillation supervision beyond the text-logical regime of prior on-policy methods. • A cross-modal on-policy distillation framework that scores trajectories from the student’s acoustic-conditioned policy using the text teacher under matched text inputs, anchoring supervision at on-policy states while preserving robust text-conditioned signals. • Comprehensive empirical evidence on MMAU, MMSU, and BIG Bench Audio demonstrating substantial gains over strong offline and on-policy baselines, alongside textdomain capability preservation and robustness analyses isolating the contributions of crossmodal alignment.

2

Related Work

2.1

Reasoning in Large Audio Language Models

The transition from cascaded speech systems to LALMs has fundamentally transformed the modality interface, preserving rich acoustic and paralinguistic nuances within continuous representations (Ji et al., 2024; Luo et al., 2026; Fu et al., 2025). Early systems (Zhang et al., 2023; Huang et al., 2024) couple discrete speech tokens or expert audio modules with an LLM, while end-to-end models (Chu et al., 2023, 2024; Tang et al., 2023; Kong et al., 2024) align continuous audio encoders with pretrained LLMs via lightweight adapters. More recent omni-modal systems (Xu et al., 2025b,c; OpenAI, 2024; Comanici et al., 2025) unify speech, audio, vision and text in a single backbone. The remarkable reasoning capabilities of Large Language Models (Yang et al., 2025; OpenAI et al., 2024) have catalyzed a paradigm shift in LALMs, extending the research focus from fundamental audio perception to complex reasoning. CoT prompting, which has demonstrated profound efficacy in textual reasoning, is increasingly recognized as equally pivotal for audio-centric tasks (Guo et al., 2026). Unlike purely text-based reasoning, audio reasoning necessitates extrapolating answers from continuous acoustic cues, such as speech emotion, prosody, and audio events. To address this, some existing methodologies construct audio-specific

• A three-tier symmetric reasoning corpus 2

CoT datasets for Supervised Fine-Tuning (SFT) (Xie et al., 2025; Li et al., 2026). Moreover, Reinforcement Learning (RL) techniques have been recently introduced to encourage models (Tian et al., 2025; Zhong et al., 2025), which aim to cultivate genuine audio-driven reasoning, mitigating the model’s over-reliance on textual priors. However, the heavy reliance on SFT is bottlenecked by the prohibitive cost and complexity of audio CoT annotation, while biased data distributions further degrade generalization. Meanwhile, RL approaches are still hindered by sparse rewards (Fan et al., 2025). Therefore, exploring new training paradigms for reasoning in LALMs remains an urgent necessity. 2.2

traces and therefore inherit the exposure bias documented in the textual setting, which manifests as a pronounced reasoning gap between LALMs and their text-only counterparts. Very recent works begin to lift on-policy distillation beyond the unimodal text setting. X-OPD (Cao et al., 2026) addresses the cross-modal case, aligning the two modalities through token-level KL on the student’s on-policy rollouts. CORD (Hu et al., 2026) applies an importance-weighted reverse-KL at the token level to prioritize critical early-step deviations. Both methods establish that on-policy KL-based supervision can effectively bridge the audio-text reasoning gap. However, these advances are largely confined to distilling text-based logical reasoning, neglecting the fundamental essence of audio models: perception and reasoning grounded in continuous acoustic signals. When the student ingests an acoustic signal, the supervisory boundary becomes genuinely cross-modal, requiring the student’s trajectories to be corrected under residual perceptual uncertainty, a regime that existing on-policy distillation methods fail to explicitly account. To bridge this critical gap, X3 -OPD is proposed to systematically extend the on-policy distillation paradigm into the crossmodal regime, aligning the student’s reasoning trajectories directly within the continuous acoustic space.

Knowledge Distillation for Large Language Models

Knowledge distillation (KD) (Hinton et al., 2015) has traditionally served to transfer large teacher capabilities into compact students. Early text-domain extensions adopted offline forms, where students learned from static, teacher-generated corpora or reasoning traces (Kim and Rush, 2016; Sanh et al., 2020). Such supervision is strictly tied to sequences the student never produces, exposing the student to a train–inference distribution mismatch— commonly referred to as exposure bias—whose errors compound at test time. This motivates onpolicy distillation, in which the student samples its own continuations and receives per-token teacher feedback at the states it actually visits. Generalized Knowledge Distillation (GKD) (Tan et al., 2023) and MiniLLM (Gu et al., 2026) formalize this view and show that on-policy updates substantially mitigate exposure bias and provide a strictly stronger supervision signal once the inference policy drifts from any static training distribution. More recent work further unifies the dense token-level supervision of distillation with the on-policy nature of reinforcement learning, achieving substantial efficiency gains over reward-only RL while retaining its trajectory-level objective (Lu and Lab, 2025; Song and Zheng, 2026). The speech and audio community, by contrast, has historically employed distillation primarily for representation compression or self-distillation (Chang et al., 2022; Baevski et al., 2022), with limited engagement with generative reasoning. Although recent LALMs have extended distillation to speech-to-text generation (Milbich et al., 2020; Li et al., 2026), they still rely on static, offline teacher

3

Preliminaries

3.1

Problem Setting

This work targets reasoning distillation across the text–audio modality boundary. Let πT (· | xt , q, a⋆ ; θT ) denote a frozen text teacher with parameters θT , taking a text input xt , a question q and ground truth answer a⋆ and let πS (· | xa , q; θS ) denote a trainable audio student with parameters θS , taking an acoustic input xa and the same question. Throughout this work, a symmetric sample is a tuple (xt , xa , q, a⋆ ) in which xt and xa encode the same underlying content in their respective modalities, and a⋆ is the ground truth. A reasoning trajectory y = (y1 , . . . , yL ) is the concatenation of an intermediate chain-of-thought and a final answer, sampled autoregressively from either πT or πS . 3.2

Offline Distillation and its Limitation

The standard offline distillation objective trains the student to imitate teacher trajectories sampled once and held fixed: 3

T audio

Q

text

A*

question answer

Logical reasoning T

refine

—>

—>

Audio reasoning caption

—>

)

T

logical filter

Dialogue reasoning ASR

—>

T

annotate

—>

Offline Warm-Start Q

A*

—>

—>

A

>

ℒoff

————————————————

TTS

T

————————————

Symmetric Data Construction

T

Cross-modal On-policy Distillation log-probability

Q T Q

—>

—> Teacher Scoring >

—>

A*

ℒon

—>

Figure 1: Overview of X3 -OPD. Left: a three-tier symmetric corpus—Logical (text + TTS speech), Audio (audio + refined caption), and Dialogue (dialogue + prosody-aware meta-caption)—providing (xt , xa , q, a⋆ ) for every instance. Right: an offline warm-start (Loff , Eq. 1) followed by cross-modal on-policy distillation, where the student rolls out under (xa , q) and the frozen teacher scores the same trajectories under (xt , q, a⋆ ) to compute Lon (Eq. 3).

2015). The supervisory signal is then strongest exactly where it is least informative. A direct consequence of these two failure modes is that Loff cannot teach the student how to reason given that its own perception may be wrong. Section 4 addresses both by sampling trajectories from πS itself and scoring them with πT on the matched text input.

Loff (θS ) = E(xt ,xa ,q)∼D Ey∼πT (·|xt ,q) [− log πS (y | xa , q; θS )] . (1) In the unimodal text setting, where xt = xa and πT , πS share an input space, Eq. (1) is a faithful proxy for the population KL between teacher and student. Once the input modalities diverge, two issues emerge with this offline objective that neither standard unimodal distillation nor prior on-policy work in text (Lu and Lab, 2025) is equipped to handle.

4

Method

The proposed framework has three components: (i) a three-tier modality-paired corpus that establishes a uniform (xt , xa , q, a⋆ ) schema across textual reasoning, audio-event reasoning, and spoken dialogue; (ii) a cross-modal on-policy distillation objective that scores student rollouts under the matched text input; and (iii) a training recipe that combines a brief offline warm-start with on-policy optimization. An overview is given in Figure 1.

Perception–text divergence The student’s input xa is an acoustic signal whose semantic content is recovered only up to a posterior p(s | xa ) over latent percepts s. The teacher reasons over xt , which is by construction a single point in this posterior; its trajectories therefore implicitly assume a perceptual premise that the student rarely matches token-for-token at training time and almost never matches under noise or accent shift at test time.

4.1

Three-Tier Symmetric Data Construction

To comprehensively enhance the model’s reasoning capabilities in multimodal environments, we construct a dataset encompassing three distinct levels of difficulty and modal emphases. Specifically, this dataset defines a three-tier hierarchy of reasoning tasks: pure logical reasoning based on textual semantic transcription, audio event reasoning grounded in complex acoustic scenes, and spoken dialogue interaction reasoning contingent on paralinguistic and social cues. Through this three-tier data construction, we aim to guide the model to progressively transition from fundamental seman-

Exposure bias across modalities Because the teacher trajectories in Eq. (1) are independent of θS , the student is supervised only at states it would not have visited on its own. As soon as the student commits to a different intermediate token, which frequently occurs when its acoustic perception diverges from xt , the offline target is out of distribution with respect to the student’s induced state distribution, a cross-modal instance of the exposure bias studied in sequence modeling (Bengio et al., 4

raw speech waveform as xa . The design of this tier requires the model not only to understand what is said but also to comprehend how it is said, significantly enhancing the model’s empathic capacity and its acuity in recognizing dialogue intentions within complex human-computer interaction scenarios. During the actual training process, data from these three distinct tiers are fully shuffled and mixed. This joint optimization strategy allows the student model to seamlessly integrate textual logical reasoning, audio feature parsing, and spoken dialogue interaction capabilities under a single training objective, effectively facilitating knowledge transfer across different modal features.

tic and logical understanding to the deep parsing of real-world physical acoustic scenes. Tier 1: Textual reasoning rendered into speech. Large-scale text-only reasoning corpora (Lambert et al., 2025; Shao et al., 2023) provide the textual side xt , the question q, and the gold answer a⋆ . To ensure the naturalness of the data, the generation of the acoustic side xa undergoes a rigorous pipeline: first, the original text corpora are rewritten into a format more suitable for spoken expression. Subsequently, they are rendered using a high-fidelity textto-speech (TTS) system and subjected to closedloop validation via an automatic speech recognition (ASR) system to filter out audio data with poor generation quality. This tier supplies dense logical supervision and serves as the primary foundational source for the model’s reasoning signals.

4.2

Offline Warm-start

On-policy optimization is unstable when the student’s initial rollouts are far from the teacher’s distribution. To stabilize the early phase, πS is first fine-tuned for a short SFT pass on Eq. (1) using teacher-generated trajectories. The warm-start is deliberately short, to seat the student inside the teacher’s reasoning style, but not long enough to entrench the offline failure modes analyzed in Section 3.

Tier 2: Audio reasoning grounded in captions. Tier 2 samples real audio clips paired with structured captions that describe salient acoustic events, sound sources, and temporal structures. These captions initially derive from existing open-source datasets (Drossos et al., 2019; Kim et al., 2019) and are subsequently reconstructed using advanced captioning models (Xu et al., 2025c), followed by rigorous human verification to ensure the precision and dimensional richness of the acoustic feature descriptions. On this basis, we strictly filter the data according to the logical consistency among the acoustic descriptions, questions, and answers, removing samples with unreasonable reasoning chains or factual errors. The teacher model is queried with these high-quality captions as xt to generate a chain-of-thought that explicitly cites acoustic evidence at each reasoning step; conversely, the student model directly receives the raw audio as xa alongside the same question q.

4.3

Cross-modal On-policy Distillation

On-policy Multi-path Rollout. For each symmetric sample, the student model first performs autoregressive generation under its current policy πS (θS ), conditioned on its own acoustic perception xa and the question q. To mitigate the high variance inherent in gradient estimation from singletrajectory rollouts and to explore the policy space more extensively, we independently sample K candidate trajectories Y = {y (1) , y (2) , . . . , y (K) } for each input. Because these trajectories are drawn directly from the student model, they accurately reflect the actual state space visited under the current acoustic premise, ensuring that the subsequent supervisory signals strictly adhere to on-policy conditions.

Tier 3: Spoken dialogue with prosody-aware captions. Tier 3 covers reasoning that hinges on paralinguistic cues—such as turn boundaries, hesitations, emphases, tonal shifts, and subtle emotional fluctuations—complex semantic dimensions that ordinary plain-text transcripts fail to convey. Each instance pairs a multi-turn spoken dialogue from a real-world scenario with a meta-caption, which deeply augments the transcript with precise prosodic and turn-level annotations. The teacher model processes the meta-caption as xt , enabling it to capture the underlying subtext behind the dialogue; the student model learns directly from the

Cross-Modal Teacher Scoring. To ensure that the student model πS faithfully inherits the logical reasoning capabilities of the teacher model πT , we introduce a cross-modal advantage function. (k) For the k-th sampled trajectory y (k) , let yt be the t-th token. The highly capable teacher model evaluates this exact trajectory token-by-token, conditioned on the matched text input xt together with 5

the gold answer a⋆ , so that its token-level logprobabilities form a high-confidence reference distribution anchored to the correct conclusion. The (k) cross-modal advantage A(yt ) is defined to bridge the log-probability gap between the teacher’s textdriven logical distribution and the student’s speechconditioned output: (k)

(k)

A(yt ) = log πT (yt

(k)

| xt , q, a∗ , y<t )

(k)

− log πS (yt

Training data. The three-tier corpus contains 27.8K Tier-1, 32K Tier-2, and 12K Tier-3 instances, fully shuffled at the batch level. Tier-1 takes text prompts from Tulu 3 (Lambert et al., 2025) and NaturalReasoning (Yuan et al., 2025), rewrites them into spoken style with Gemini-3-FlashPreview, synthesizes audio via CosyVoice 3 (Du et al., 2025) at 24 kHz, and filters with SenseVoice (SpeechTeam, 2024) ASR back-translation at WER≤ 5%. Tier-2 draws audio and captions from AudioCaps (Kim et al., 2019) and Clotho v2.1 (Drossos et al., 2019), with captions reconstructed by Qwen3-Omni-30B-A3BCaptioner and human-verified on a 5% subset before caption–question–answer consistency filtering. Tier-3 is built on dyadic and multi-party spoken dialogues from IEMOCAP (Busso et al., 2008) and MELD (Poria et al., 2019), augmented with prosody- and turn-level meta-captions. The offline warm-start SFT pass uses a 12K subset sampled under a tier ratio of 5 : 3 : 2, deliberately overweighting Tier-1 and Tier-3 to anchor the model’s logical reasoning format and sensitivity to paralinguistic cues before the RL stage.

(k)

(2)

| xa , q, y<t )

By calculating this advantage, the text-driven teacher model provides real-time cross-modal guidance signals at the exact states where the student’s acoustic representations push it off the correct logical manifold. Cross-Modal Distillation Objective. Integrating the multi-path rollout and the cross-modal advantage, we formulate a policy gradient-based distillation loss. Utilizing the K sampled trajectories, the optimization objective is formulated to maximize the expected cross-modal advantage, achieving cross-modal reasoning transfer: " K 1 X 1 Lon (θS ) = −E(xt ,xa ,q) K |y (k) | k=1 (3) # |y (k) | X (k) rk,t (θS )A(yt )

Training configuration. Offline warm-start: 1 epoch, batch size 128, learning rate 1×10−5 , cosine schedule. Cross-modal on-policy stage: K = 4 rollouts per sample, AdamW with constant learning rate 2×10−6 . Rollouts use vLLM (Kwon et al., 2023) at temperature 1.0. All runs are in the verl (Sheng et al., 2025) framework on 32×NVIDIA H20. For a fair comparison, we additionally train two baselines, all initialized from the same Qwen3Omni-30B-A3B-Thinking student checkpoint: (1) Standard SFT, fine-tuned on a supervised corpus in which each prompt is paired with a reasoning trace produced offline by the text-only teacher Qwen3235B-A22B-Thinking together with the groundtruth answer, so that the student learns to imitate the teacher’s chain-of-thought and to emit the correct final response; (2) Generalized Knowledge Distillation (GKD) (Tan et al., 2023), which optimizes the student policy against the same teacher under the forward KL divergence on on-policy student rollouts.

t=1 (k)

where rk,t (θS ) =

(k)

πS (yt |xa ,q,y<t ;θS ) (k) (k) πold (yt |xa ,q,y<t )

represents

the probability ratio between the current policy πS and the sampling policy πold . This formulation yields a single, highly efficient objective: it is strictly on-policy and suited for open-ended instructional data lacking gold standard answers, enabling the student model to internalize the teacher’s open-ended reasoning capabilities purely through cross-modal alignment.

5

Experiments

5.1

Experimental Setup

Backbones. The student is initialized from Qwen3-Omni-30B-A3B-Thinking (Xu et al., 2025c), whose acoustic encoder and LLM backbone are kept jointly trainable while the speech tokenizer is frozen. The teacher is Qwen3-235BA22B-Thinking (Yang et al., 2025), held frozen throughout. The teacher reads xt and the student reads xa under the modality-paired schema of Section 4.1.

Evaluation benchmarks. We evaluate our framework across three levels of domain shift. The indomain evaluation covers benchmarks that directly probe audio-grounded reasoning: MMSU (Wang et al., 2026) along its four axes (Semantics, Phonology, Style, Traits), MMAU (Sakshi et al., 2024) 6

MMSU

MMAU

BIG Bench

Model

Sem.

Phon.

Style

Traits

Sound

Speech

Music

Audio

Closed-Source LALMs GPT-4o-Audio(OpenAI, 2024) Gemini-3-Flash(Comanici et al., 2025)

59.7 70.2

41.6 53.6

21.4 38.5

39.7 46.1

64.6 75.4

66.7 80.6

56.3 71.0

88.5 80.8

Open-Weight LALMs Qwen2-Audio-Instruct(Xu et al., 2025b) GLM-4-Voice(Zeng et al., 2024) Qwen2.5-Omni-7B(Xu et al., 2025a) Qwen3-Omni-Instruct(Xu et al., 2025c) Qwen3-Omni-Thinking(Xu et al., 2025c)

38.5 41.2 55.1 81.6 81.8

29.4 31.8 37.3 70.0 73.2

21.7 24.5 39.4 54.0 65.2

26.1 28.4 42.5 35.3 42.7

55.0 52.4 67.9 80.5 85.7

42.0 50.6 59.8 78.1 81.5

51.0 49.1 69.2 74.3 74.9

32.5 35.2 62.2 85.7 87.9

Ablation Baselines SFT (Loff ) GKD

82.1 80.2

69.7 68.4

62.4 63.1

42.8 41.1

86.4 85.1

81.9 82.3

70.7 69.2

86.7 84.3

X3 -OPD (ours)

83.7

72.1

64.2

42.9

88.3

82.9

72.4

93.6

Table 1: Main evaluation results on MMSU, MMAU, and BIG Bench Audio. MMSU evaluation dimensions include Semantics (Sem.), Phonology (Phon.), Style, and Traits. Bold indicates the best performance in each column.

on Sound/Speech/Music, and BIG Bench Audio aggregating acoustic QA, multi-event reasoning, audio-temporal grounding, and paralinguistic inference. We then stress-test intermediate reasoning quality on the held-out MMAR benchmark, where we evaluate two CoT-quality metrics, Rubrics and CRS. Finally, we evaluate out-of-distribution generalization on benchmarks with significant domain shifts, including the audio-visual WorldSense (Xu et al., 2025c), video reasoning DailyOmni. 5.2

high-signal semantic tasks over the Qwen3-OmniThinking baseline, it actively regresses on lowsignal perceptual axes (Phonology −3.5, Style −2.8, Music −4.2). X3 -OPD effectively mitigates this degradation. By allowing the student to receive teacher feedback on its own trajectory, on-policy distillation substantially reduces these performance drops on perceptual tasks while achieving remarkable gains on reasoning-heavy axes like BAB. Residual Gaps on Perceptual Axes. Despite the overall improvements, X3 -OPD still slightly trails the base model on three purely perceptual axes: MMSU-Phonology, MMSU-Style, and MMAUMusic. We attribute this to the intrinsic properties of cross-modal distillation: the reward signals provided by the text-side teacher propagate predominantly along semantic and logical pathways, leaving non-semantic acoustic representations (such as music and pure paralinguistic style) with insufficient gradient updates during optimization. Remarkably, even though the model is trained on synthesized data streams specifically designed to elicit logical reasoning—presenting an inevitable distribution shift—the performance degradation on these pure perception benchmarks remains exceptionally minimal (drop ≤ 2.6).

Main Results

Table 1 contrasts X3 -OPD with state-of-the-art closed- and open-source systems, as well as controlled in-house baselines. We summarize our core observations below. Significant Enhancements in Cross-Modal Reasoning. Built upon the Qwen3-Omni-Thinking baseline, X3 -OPD demonstrates substantial improvements in complex audio-grounded reasoning. Compared to its base model, X3 -OPD not only pushes the BIG Bench Audio (BAB) score from 87.9 to 93.6 (a +5.7 improvement) but also achieves solid gains in semantic and acoustic event understanding (e.g., +1.9 on MMSU-Semantics and +2.6 on MMAU-Sound). Furthermore, X3 OPD exhibits highly competitive performance against proprietary systems, surpassing GPT-4oAudio on BAB by +5.1 points.

5.3

CoT-quality Evaluation

To rigorously assess the intermediate reasoning quality of the model on multi-step audio tasks, we evaluate X3 -OPD on the MMAR benchmark (Ma et al., 2025). Our evaluation specifically focuses on the unambiguous Sound and Speech splits,

Mitigating Perceptual Regression via On-Policy Distillation. A comparison with off-policy methods reveals a structural exposure bias in static alignment. While off-policy SFT slightly improves 7

MMAR Acc. (%)

CoT Quality

Model

Sound

Speech

Rubrics

CRS

Step-Audio-R1 Audio-Reasoner Qwen3-Omni-Thinking

32.5 42.4 64.2

68.7 42.5 79.3

46.6 28.4 58.0

0.79 0.68 0.85

X3 -OPD (ours)

65.8

80.6

60.4

0.86

WorldSense

Table 2: MMAR results and CoT-quality scores. Bold marks the best result in each column.

Model

Score

Score

Qwen3-Omni-Thinking

54.0

75.8

SFT (Loff ) GKD

48.7 47.9

−5.3 −6.1

69.2 69.5

−6.6 −6.3

X3 -OPD (ours)

52.8

−1.2

73.5

−2.3

Table 3: Capability preservation under domain shift. WorldSense (audio-visual) and DailyOmni (video) represent modalities completely absent from our finetuning corpus.

with a primary emphasis on assessing the quality of the CoT itself. Beyond standard accuracy, we adopt the Rubrics and CRS (Correct Reasoning Score) metrics (Ma et al., 2026) to quantify whether the generated reasoning steps are wellgrounded in the acoustic premise. As shown in Table 2, X3 -OPD steadily improves accuracy over the Qwen3-Omni-Thinking baseline (Sound +1.6, Speech +1.3) while simultaneously elevating the CoT quality scores (Rubrics +2.4, CRS +0.01). This concurrent gain in both correct predictions and reasoning structure confirms that on-policy distillation genuinely anchors intermediate steps to the acoustic input, rather than merely exploiting statistical shortcuts to reach a final answer. Furthermore, compared to contemporary baselines like Step-Audio-R1—which suffers a severe performance collapse on the non-speech Sound split (32.5%) due to speech-biased reward signals—X3 OPD maintains robust and balanced audio reasoning capabilities, demonstrating that it effectively enhances how to reason without relying on any MMAR-specific domain supervision. 5.4

DailyOmni

almost perfectly, with marginal variations (−1.2 and −2.3). By dynamically scoring the student’s on-policy rollouts using the cross-modal advantage (Eq. 3), X3 -OPD inherently minimizes the reverseKL divergence against the highly capable, frozen text teacher. Because this teacher maintains strong general-purpose reasoning capabilities across unobserved domains, its dense token-level feedback acts as a continuous capability anchor, effectively restricting the student from drifting into degenerate, modality-specific shortcuts. This confirms that advanced audio reasoning can be cultivated without paying a multimodal tax on pre-existing vision or video capabilities.

6

Conclusion

In this work, we introduced X3 -OPD, a novel cross-modal on-policy distillation framework designed to bridge the reasoning gap between textbased Large Language Models and Large AudioLanguage Models (LALMs). To address the exposure bias and perception-text divergence inherent in standard offline distillation, our approach dynamically aligns the student’s acoustic-conditioned reasoning trajectories with the teacher’s text-grounded prior knowledge. Supported by a newly constructed three-tier symmetric corpus—spanning textual reasoning, audio-event understanding, and paralinguistic spoken dialogue—X3 -OPD provides comprehensive supervision across multiple acoustic reasoning regimes. Extensive experiments demonstrate that our framework achieves substantial gains on major audio-reasoning benchmarks while mitigating catastrophic forgetting, ultimately establishing a robust paradigm for cross-modal reasoning directly from continuous acoustic signals.

Capability Preservation under Domain Shift

A critical concern when fine-tuning on modalityspecific data is the catastrophic forgetting of unobserved domains. Table 3 stress-tests the models on two out-of-distribution benchmarks absent from our corpus: audio-visual reasoning (WorldSense) and video reasoning (DailyOmni). We report both the raw score and the absolute performance drop (∆) relative to the base model. The results demonstrate that off-policy imitation methods suffer from severe cross-modal degradation. Both SFT and GKD lose substantial ground across visual and video tasks, dropping by 5.3 to 6.6 points. This indicates that static token-level imitation of a text teacher induces a global policy drift within the shared LLM backbone. In contrast, X3 -OPD preserves the base model’s initialization 8

Limitations

Heng-Jui Chang, Shu wen Yang, and Hung yi Lee. 2022. Distilhubert: Speech representation learning by layer-wise distillation of hidden-unit bert. Preprint, arXiv:2110.01900.

While X3 -OPD significantly advances audiogrounded reasoning, several limitations remain to be addressed in future work. First, our current three-tier symmetric corpus does not yet encompass the full spectrum of acoustic phenomena. Specifically, complex musical reasoning and highly specialized, non-linguistic soundscapes are underrepresented in the training data, which is reflected in the residual performance gaps on purely perceptual axes like MMAU-Music. Expanding the dataset construction pipeline to encompass a broader diversity of audio domains is a critical next step. Second, the current framework relies exclusively on a text-based teacher’s token-level logprobabilities as the supervisory signal. Because the text teacher is inherently blind to non-semantic acoustic cues that cannot be perfectly captured by captions or transcripts, this reward signal is somewhat constrained. It tends to bias the learning process toward semantic logic while under-penalizing perceptual errors in pure acoustic or paralinguistic contexts. To overcome this limitation, future work must introduce more multi-dimensional reward mechanisms. Incorporating direct audio-based reward models (RM), environmental verifiers, or rulebased multi-objective signals will be vital for cultivating a truly comprehensive and autonomous reasoning capability in LALMs.

Yunfei Chu, Jin Xu, Qian Yang, Haojie Wei, Xipin Wei, Zhifang Guo, Yichong Leng, Yuanjun Lv, Jinzheng He, Junyang Lin, and 1 others. 2024. Qwen2-audio technical report. arXiv preprint arXiv:2407.10759. Yunfei Chu, Jin Xu, Xiaohuan Zhou, Qian Yang, Shiliang Zhang, Zhijie Yan, Chang Zhou, and Jingren Zhou. 2023. Qwen-audio: Advancing universal audio understanding via unified large-scale audiolanguage models. arXiv preprint arXiv:2311.07919. Gheorghe Comanici, Eric Bieber, Mike Schaekermann, Ice Pasupat, Noveen Sachdeva, Inderjit Dhillon, Marcel Blistein, Ori Ram, Dan Zhang, Evan Rosen, and 1 others. 2025. Gemini 2.5: Pushing the frontier with advanced reasoning, multimodality, long context, and next generation agentic capabilities. arXiv preprint arXiv:2507.06261. Konstantinos Drossos, Samuel Lipping, and Tuomas Virtanen. 2019. Clotho: An audio captioning dataset. Preprint, arXiv:1910.09387. Zhihao Du, Changfeng Gao, Yuxuan Wang, Fan Yu, Tianyu Zhao, Hao Wang, Xiang Lv, Hui Wang, Xian Shi, Keyu An, and 1 others. 2025. Cosyvoice 3: Towards in-the-wild speech generation via scaling-up and post-training. arXiv preprint arXiv:2505.17589. Jiajun Fan, Roger Ren, Jingyuan Li, Rahul Pandey, Prashanth Gurunath Shivakumar, Ivan Bulyko, Ankur Gandhe, Ge Liu, and Yile Gu. 2025. Incentivizing consistent, effective and scalable reasoning capability in audio llms via reasoning process rewards. Preprint, arXiv:2510.20867.

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11

A

Additional Experiment Details

public API under the same single-turn protocol as GPT-4o-Audio.

Training Setup and Hyperparameters. We implement our training framework using verl (Sheng et al., 2025) on top of Megatron-LM, with vLLM (Kwon et al., 2023) serving as the rollout engine. To accommodate both the 30B student and the 235B teacher models within a 32× H20 GPU budget, we employ hybrid parallelism (PP = 2, TP = 4, EP = 4, CP = 1) alongside memory optimizations, including teacher parameter offloading and full activation recomputation. During the on-policy optimization stage, we use a batch size of 256 and a micro-batch size of 4 per GPU. We bypass Generalized Advantage Estimation (GAE) and instead use a naive advantage estimator, utilizing the per-token signal from our cross-modal log-ratio (Eq. 3). During generation, we sample K = 4 responses per prompt at a temperature of 1.0.

B.2

Qwen2-Audio-Instruct (Xu et al., 2025b). A widely adopted open-source LALM that couples a Whisper-style audio encoder with a Qwen2 LLM backbone via an audio adapter. Trained predominantly on perception-oriented tasks (ASR, captioning, short-form QA), it is a natural reference for the pre-reasoning generation of LALMs. GLM-4-Voice (Zeng et al., 2024). An end-toend speech-text model built on the GLM-4 backbone that natively tokenizes speech and integrates it with a unified LLM decoder. It is included to contrast a discrete-speech-token paradigm against continuous-audio LALMs. Qwen2.5-Omni-7B (Xu et al., 2025a). A 7B omni-modal model that jointly handles audio, vision, and text. It represents the previous generation of the Qwen-Omni line and provides a smallerscale, instruction-tuned reference under the same model family as our student.

Implementation Details. To maintain mathematical consistency with Eq. 3 when rollouts and updates are asynchronous, we explicitly track and compute the importance ratio rk,t rather than collapsing it to one. Furthermore, to mitigate precision discrepancies in log-probabilities between vLLM inference and the training engine, we exactly recompute all teacher and student log-probabilities within the training engine during the update phase.

B

Qwen3-Omni-Instruct (Xu et al., 2025c). The instruction-tuned 30B-A3B (MoE) variant of Qwen3-Omni. It is the closest non-thinking sibling of our student and isolates the contribution of explicit thinking from the contribution of our distillation procedure.

Baseline Descriptions

For completeness, we provide a concise description of every baseline that appears in the main results (Table 1) and the CoT-quality evaluation (Table 2). Baselines are grouped according to the role they play in our comparison. B.1

Open-Weight LALMs

Qwen3-Omni-Thinking (Xu et al., 2025c). The thinking-mode 30B-A3B variant of Qwen3-Omni and the exact initialization of our student model. It is therefore the primary base-model anchor against which all X3 -OPD improvements should be read.

Closed-Source LALMs B.3

GPT-4o-Audio (OpenAI, 2024). The audioenabled variant of OpenAI’s GPT-4o family, accepting raw speech and audio as a native input modality and producing text (and, in its real-time variant, speech) outputs. It serves as a strong proprietary reference for general audio-language understanding and is queried through the public API in single-turn, non-streaming mode.

Reasoning-Specialized LALMs (Section 5.3, Table 2)

For the CoT-quality evaluation we additionally compare against two recent LALMs that are explicitly designed to produce extended chain-of-thought reasoning over audio. Audio-Reasoner (Xie et al., 2025). A Qwen2Audio-based LALM fine-tuned on C OTA, a 1.2Msample structured chain-of-thought corpus. AudioReasoner adopts a fixed four-stage reasoning template—Planning → Captioning → Reasoning → Summary—and is trained purely by supervised fine-tuning on offline teacher traces, making it

Gemini-3-Flash (Comanici et al., 2025). A latency-oriented member of Google’s Gemini 3 family with native multimodal input over audio, vision, and text. We use it as a representative highcapacity proprietary LALM and evaluate it via its 12

a strong representative of the static offline-CoT paradigm.

ing the teacher’s logical signal to non-linguistic acoustic events. Removing Tier-3 (prosody-aware spoken dialogue) yields a surprisingly steep drop on MMSU-Sem. (−3.3), alongside a significant regression on BAB (−2.6). This indicates that prosody and conversational context are not merely stylistic wrappers, but rather essential structural cues for deeply parsing the underlying semantics of spoken interactions. Without them, the model’s textual-logical reasoning fails to ground properly in real-world conversational audio.

Step-Audio-R1 (Tian et al., 2025). A 33B audio reasoning model built on a Qwen2 audio encoder and a Qwen2.5-32B decoder. Step-AudioR1 explicitly targets the “textual-surrogate reasoning” problem via its Modality-Grounded Reasoning Distillation (MGRD) framework, an iterative selfdistillation procedure that filters reasoning traces grounded in acoustic cues, followed by Reinforcement Learning with Verified Rewards. It represents the strongest currently public competitor that combines distillation and RL for audio CoT reasoning. Together, these two baselines bracket the reasoning-LALM design space: Audio-Reasoner relies entirely on offline structured-CoT SFT, whereas Step-Audio-R1 augments distillation with on-policy RL but remains uni-source (selfdistilled). Neither one performs cross-modal onpolicy distillation across a modality-paired symmetric corpus, which is the gap X3 -OPD closes.

C

Impact of SFT warm-start duration. Removing the offline warm-start entirely (w/o warm-start) costs 1.9 points on MMSU-Sem. and 3.1 on BAB. Inspecting the training curves, we observe that pure on-policy training without an SFT phase is markedly more unstable in the early phase: the initial rollouts are far enough from the teacher’s distribution that the cross-modal advantage in Eq. (3) is dominated by high-variance corrective terms. The warm-start mitigates this by seating the student inside the teacher’s reasoning style before on-policy optimization begins.

Ablation Study

To attribute the empirical gains of X3 -OPD to its individual design choices, we perform a systematic ablation along two axes: the composition of the three-tier symmetric corpus (Section 4.1) and the training-recipe choice between offline warmstart and pure on-policy distillation (Section 4.3). All variants share the identical student initialization, optimizer, schedule, and rollout budget as the full model, so that any observed difference is attributable solely to the ablated component. To best expose tier-specific contributions, we report four representative columns: MMSU-Sem., MMAUSound, MMAU-Music, and BIG Bench Audio.

Exposure bias in full-corpus warm-starts. A straightforward alternative is to first SFT the student on the entire three-tier corpus and then run the OPD stage on top (“full-data warm-start → OPD”). Interestingly, this variant pushes MMAUSound even higher than the full model (+0.8) but triggers a severe collapse on the held-out MMAUMusic axis (−4.2). We interpret this dual effect through two mechanisms. First, as discussed in Section 3, a long offline pass on the full corpus overfits the student to teacher trajectories under teacherside inputs xt , entrenching states that the student’s acoustic-side rollouts rarely revisit, thereby weakening the corrective signal of the subsequent onpolicy phase. Second, extensive SFT on a highly structured, domain-specific corpus inevitably induces catastrophic forgetting of out-of-distribution acoustic domains. While the model over-fits and excels on in-domain sound events, it overwrites the broader perceptual representations (e.g., music) inherited from its pre-training. In future work, expanding the data to a more general distribution may unlock the scaling potential of full-data warmstarts without sacrificing generalizability (Lu and Lab, 2025).

Contribution of individual data tiers. Removing Tier-1 (textual reasoning rendered into speech) causes the largest drop on MMSU-Sem. (−3.1) and BAB (−4.5), but only marginal regressions on MMAU-Sound/Music. This is the expected signature of Tier-1: it provides the densest source of logical chain-of-thought supervision, and without it the student loses the very capability that the framework is designed to distill. Removing Tier-2 (audio-event reasoning grounded in captions) flips the picture: MMAU-Sound drops by 4.1 points and MMAU-Music by 2.9 points, while MMSU-Sem. is essentially preserved. This confirms that captiongrounded audio reasoning is responsible for bind13

Variant

MMSU-Sem.

MMAU-Sound

MMAU-Music

BAB

83.7

88.3

72.4

93.6

Data composition (drop one tier from the symmetric corpus) w/o Tier-1 (textual reasoning → TTS) 80.6 (−3.1) w/o Tier-2 (audio + caption) 82.9 (−0.8) w/o Tier-3 (prosody-aware dialogue) 80.4 (−3.3)

87.5 (−0.8) 84.2 (−4.1) 87.6 (−0.7)

71.6 (−0.8) 69.5 (−2.9) 71.9 (−0.5)

89.1 (−4.5) 90.4 (−3.2) 91.0 (−2.6)

Training recipe w/o warm-start (pure on-policy) full-data warm-start → OPD

86.0 (−2.3) 89.1 (+0.8)

70.7 (−1.7) 68.2 (−4.2)

90.5 (−3.1) 92.4 (−1.2)

3

X -OPD (full)

81.8 (−1.9) 83.2 (−0.5)

Table 4: Ablation of the three-tier symmetric corpus and the training recipe. Numbers in parentheses indicate the absolute drop relative to the full X3 -OPD model.

D

Prompt Templates

P3: Tier-2 caption reconstruction prompt. The original AudioCaps and Clotho captions are written for short captioning evaluation and are typically a single under-specified sentence. To turn them into reasoning-ready descriptions, every audio clip is re-captioned by Qwen3-Omni-30B-A3B-Captioner under the following structured prompt. The reconstructed caption is then used as the teacher-side input xt for Tier-2.

This appendix collects the three prompt templates that play a non-trivial role in the X3 -OPD pipeline: (i) the teacher-side reasoning prompt used during cross-modal on-policy distillation, (ii) the Tier-1 spoken-style rewriting prompt used to convert textual reasoning corpora into TTS-compatible utterances, and (iii) the Tier-2 caption-reconstruction prompt used to upgrade existing audio-caption datasets into reasoning-ready acoustic descriptions. Table 5 summarizes where each prompt is used in the pipeline, and the verbatim templates follow. Prompt

Stage

Consumer

P1: Teacher CoT P2: Tier-1 TTS rewrite P3: Caption reconstruction

OPD scoring (Sec. 4.3) Tier-1 data construction (Sec. 4.1) Tier-2 data construction (Sec. 4.1)

Qwen3-235B-A22B-Thinking Gemini-3-Flash-Preview Qwen3-Omni-Captioner

Table 5: Summary of prompt templates used in the X3 OPD pipeline.

P1: Teacher chain-of-thought prompt (OPD stage). During on-policy distillation, every student rollout y (k) is re-scored token-by-token by the frozen text teacher under the matched text input xt , the question q, and the gold answer a⋆ . The prompt is designed so that the teacher’s resulting per-token log-probabilities form a high-confidence, answeranchored reference distribution against which the student trajectory is contrasted (Eq. 3). P2: Tier-1 spoken-style rewriting prompt. Tier-1 takes prompts from Tulu 3 and NaturalReasoning, which are written in dense textual style with punctuation, formulae, URLs, and markdown that do not survive TTS rendering. The following prompt is used with Gemini-3-Flash-Preview to normalize each instance into a form that the downstream TTS engine can voice naturally, and that the closed-loop ASR re-checker can verify. 14

Prompt 1: Teacher Chain-of-Thought You are an expert reasoning teacher. You will be given a description of an acoustic scene or utterance (TEXT), a question about it (QUESTION), and the verified correct answer (ANSWER). Your task is to produce a faithful, step-by-step chain-of-thought that leads from the TEXT and QUESTION to the ANSWER. Strict requirements: 1. Reason only from evidence available in TEXT. Do not invent acoustic content that is not stated. 2. Cite the specific cue (event, prosody, lexical content, speaker turn, temporal order) you rely on at each step. 3. The reasoning chain must terminate in the exact ANSWER provided; do not propose an alternative. 4. Keep the chain concise and logically tight; avoid filler, restatement, or hedging. Output format: <think> ... step-by-step reasoning ... </think> <answer> ... ANSWER ... </answer> TEXT: {x_t} QUESTION: {q} ANSWER: {a⋆ }

Prompt 2: Spoken-Style Rewriting You are an expert in text normalization for TTS (Text-to-Speech) systems. Your task is to process the user’s input text according to the following strict rules: 1. Language Check: If the primary language of the text is neither Chinese (ZH) nor English (EN), output exactly the digit 0 and nothing else. 2. TTS Normalization: Identify special characters, symbols, numbers, abbreviations, URLs, or markdown formatting and convert them into their natural spoken equivalents in the corresponding language. Remove pure visual symbols that have no spoken meaning. 3. Keep it Original: Do NOT rewrite, summarize, or translate regular words. If the original text is already fully suitable for TTS reading, output the original text exactly as it is. 4. Output Format: Output ONLY the final processed text or 0. Do not include any explanations, quotes, or markdown formatting.

Prompt 3: Caption Reconstruction You are an expert audio annotator. You will receive a short audio clip together with its existing reference caption. Your task is to produce a single, well-formed acoustic description that is precise enough to support multi-step reasoning over the clip. The description must explicitly cover, in this order, whenever the relevant evidence is present in the audio: 1. Scene: the overall acoustic environment (indoor / outdoor / studio / vehicle / crowd / nature, etc.). 2. Sound events: every salient event, with a concrete noun-phrase label (e.g. “glass breaking”, “female laughter”, “electric guitar riff”). 3. Sources: the inferred source of each event (human / animal / mechanical / musical / environmental) and, if applicable, the speaker’s gender or age band. 4. Temporal structure: the temporal order and relative duration of events (sequential / overlapping / continuous / one-shot). 5. Salient acoustic attributes: pitch, loudness, timbre, tempo, or prosodic cues that are informative for reasoning. Strict requirements: a) Describe only what is audibly present. Do not infer external context, intent, or narrative. b) Do not copy the reference caption verbatim; use it only as a sanity check. c) If an attribute cannot be determined from the audio, omit it rather than guess. d) Output one paragraph of plain text, no bullet points, no markdown. REFERENCE CAPTION: {caption_ref} AUDIO: <audio clip>

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